Visualize streamlines for a vector field with the background based on :

Plot streamlines for two vector fields with background color based on the first field's magnitude:

Use Evaluate to evaluate the vector field symbolically before numeric assignment:

Plot a vector field with streamlines placed with specified densities:

Plot the streamlines that go through a set of seed points:

Use both automatic and explicit seeding with styles for explicitly seeded streamlines:

Plot streamlines over a specified region:

Use a specific number of mesh lines:

Specify mesh lines:

The domain may be specified by a region:

The domain may be specified by a MeshRegion:

Specify different dashings and arrowheads by settings to StreamScale:

Color the background scalar field with a color function:

Change the color function for the streamlines to reflect the field magnitude:

Apply a variety of streamline styles:

Use different themes for the plot:

Use a named appearance to draw the streamlines:

Style the streamlines as well:

Specify mesh lines with different styles:

Specify global mesh line styles:

Shade mesh regions cyclically:

Apply a variety of styles to region boundaries:

Include a legend for the scalar field:

Include a legend for the streamlines:

Reverse the y scale so it increases toward the bottom:

Use colored backgrounds:

By default, region boundaries have no style:

Change the style of the boundary:

Color the field magnitude using Hue:

Color using Hue based on :

Use any named color gradient from ColorData:

Use ColorData for predefined color gradients:

Specify a color function that blends two colors by the coordinate:

Use ColorFunctionScaling->False to get unscaled values:

By default, scaled values are used:

Use ColorFunctionScaling->False to get unscaled values:

Use unscaled coordinates in the direction and scaled coordinates in the direction:

Explicitly specify the scaling for each color function argument:

Show where the vector field function is sampled:

Count the number of times the vector field function is evaluated:

Refine the plot where it changes quickly:

By default, no mesh lines are displayed:

Show the final sampling mesh:

Use a specific number of mesh lines:

Specify mesh lines:

Use different styles for different mesh lines:

By default, mesh lines correspond to the magnitude of the field:

Use the value as the mesh function:

Use mesh lines corresponding to fixed distances from the origin:

Use None to remove regions:

Styles are used cyclically:

Use indexed colors from ColorData cyclically:

Apply a variety of styles to the mesh lines:

Do not use normals in shading:

Randomly vary the effective normals:

Generate a higher-quality plot:

Emphasize performance, possibly at the cost of quality:

No legends are included, by default:

Include a legend for the scalar field:

Include a legend for the streamlines:

Control the placement of the legend:

The full plot range is used by default:

Specify an explicit limit for both and ranges:

Specify an explicit range:

Specify an explicit minimum range:

Specify an explicit range:

Specify an explicit maximum range:

Specify different and ranges:

Use a monochrome theme:

Change the stream style:

Plot streamlines only over certain quadrants:

Plot streamlines only over regions where the field magnitude is above a given threshold:

Use any logical combination of conditions:

Color streamlines according to the norm of the vector field:

Color streamlines according to a different scalar field:

Use any named color gradient from ColorData:

Use ColorData for predefined color gradients:

Specify a color function that blends two colors by the coordinate:

Use StreamColorFunctionScaling->False to get unscaled values:

By default, scaled values are used:

Use StreamColorFunctionScaling->False to get unscaled values:

Use unscaled coordinates in the direction and scaled coordinates in the direction:

Explicitly specify the scaling for each color function argument:

Streamlines are drawn as arrows by default:

Use a named appearance to draw the streamlines:

Use different markers for different vector fields:

Named arrow styles:

Named dot styles:

Named pointer styles:

Named dart styles:

Specify a maximum number of streamlines:

Use symbolic names to specify the number of streamlines:

Use both automatic and explicit seeding with styles for explicitly seeded streamlines:

Specify the minimum distance between streamlines:

Specify the minimum distance between streamlines at the start and end of a streamline:

Control the maximum length that each streamline can have:

Create full streamlines without segmentation:

Use curves for streamlines:

Use symbolic names to control the lengths of streamlines:

Specify segment lengths:

Specify an explicit dashing pattern for streamlines:

Specify the number of points rendered on each streamline segment:

Specify absolute aspect ratios relative to the longest line segment:

Specify relative aspect ratios relative to each line segment:

Scale the length of the arrows by the coordinate:

StreamColorFunction has precedence over colors in StreamStyle:

Set StreamColorFunctionNone to specify colors with StreamStyle:

Apply a variety of styles to the streamlines:

Specify a custom arrowhead:

Set the style for multiple vector fields: